Are my dimensional analysis question correct

  • #1
are these dimensional analysis questions correct

A = area
V = volume
v = speed
p = density

1. VA / v = L3 L2 L-1 T-1 = L4T-1

2. V2/3 A = (LT-1)2/3 L2 = L2/3 T-2/3 x L2 = L10/3T-2/3

3. 3A3 + 2V2 = A3 = L6
V2 = (L/T)2 = L2T-2 = L4T-2

are these correct
 

Answers and Replies

  • #2
cepheid
Staff Emeritus
Science Advisor
Gold Member
5,192
38
For the first one, you made a mistake on the exponent on T. 1/[velocity] has dimensions of [time]/[length].

For the second one, you made a mistake on the L exponent. (2 + 6 is not equal to 10).

For the third one, the original equation doesn't make sense.
 
  • #3
for;
v2/3A

i got an answer of = L4/3T-2/3

is this correct
 
  • #4
cepheid
Staff Emeritus
Science Advisor
Gold Member
5,192
38
No. Do you understand the laws of exponents? When you multiply two powers, you ADD their exponents. For example:

axay = ax+y
 
Top